The weights of 9-ounce bags of a particular brand of potato chips can be modeled by a normal distribution with mean
μ= 9.12 ounces and standard deviation = 0.05 ounce.
What percent of 9-ounce bags of this brand of potato chips weigh between 9 and 9.1 ounces?
Round your answer to 4 decimal places and then convert to a percentage.

The degrees of the given terms are: 6x^4 has degree 4, -3x^5 has degree 5, 5 has degree 0, and 2x^2 has degree 2. The degree of the polynomial 6x^4−3x^5+5+2x^2 is 5.

In polynomials, the degree of a term is determined by the exponent of the variable. Let's analyze the given terms and polynomials:

The term 6x^4 has an exponent of 4, so its degree is 4.

The term -3x^5 has an exponent of 5, so its degree is 5.

The term 5 is a constant, which can be considered as x^0. Since any non-zero number raised to the power of zero is 1, the degree of the constant term 5 is 0.

The term 2x^2 has an exponent of 2, so its degree is 2.

The polynomial 6x^4 - 3x^5 + 5 + 2x^2 consists of multiple terms. The degree of a polynomial is determined by the highest degree among its terms. In this case, the highest degree is 5 (from the term -3x^5). Therefore, the degree of the polynomial is 5.

The degree of a polynomial helps determine its behavior and characteristics. It indicates the highest power of the variable in the polynomial and can provide insights into the shape of its graph and the number of solutions it may have.

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Answer: 13 pieces

Step-by-step explanation:

4 m * 100 cm/1 m=

4 * 100/1=

4*100=400 cm.

400/30=

(10+390)/30=

10/30 + 390/30=

1/3 + 13 ==> 13 pieces

Work Shown:

1 meter = 100 cm

4 meters = 400 cm

400/30 = 13.33 approximately

That rounds down to 13

You'll have 400-13*30 = 400-390 = 10 cm of ribbon leftover.

Answer:

The total number of cups is 9 1/2 cups

Step-by-step explanation:

Here, we are interested in calculating the total cups of trail mix that Mr V can make.

From the question, we are told that he used 1/2 cups of peanuts, 2 1/4 cups of raisins and 2 times more sunflower seeds than raisins.

So basically, we need to find the number of cups of sunflower seeds used.

The information we have here is that he used 2 times more of raisins;

Thus, the number of cups of sunflower would be 2 * 2 1/4 = 2 * 9/4 = 9/2. But practically is 9/2 , two times more than 2 1/4? NO!

What we should do here is to add 9/2 to 2 1/4. In that case, the difference between the two will be 2 times the cups of raisins;

So 9/2 + 9/4 = (18 + 9)/4 = 27/4

So the total number of cups of trail mix that can be made will be;

1/2 + 27/4 + 9/4 = (2 + 27 + 9)/4 = 38/4 = 19/2 = 9 1/2 cups

Answer:A ( Both the domain and range of the transformed function are the same as those of the parent fuction

Step-by-step explanation: yes.

Answer:

A

Step-by-step explanation:

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

2x + 4x - 6 = 180

6x - 6 = 180

6x = 186

x = 31

Step-by-step explanation:

The perimeter of the triangle will be 37.5 units. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The sum of all the sides of the triangle will be known as the perimeter of the triangle.

From the graph, the coordinate of a triangle will be (-8, 7), (6, 3), and (2, -4).

Then the perimeter of the triangle will be given as,

\(\rm P = \sqrt{(6 + 8)^2+(3 - 7)^2} + \sqrt{(2 - 6)^2+(-4 - 3)^2} + \sqrt{(2 + 8)^2+(-4-7)^2}\\\\P = \sqrt{212} + \sqrt{65} + \sqrt{221}\)

Simplify the equation, then we have

P = 14.56 + 8.06 + 14.87

P = 37.49 ≈ 37.5 units

The perimeter of the triangle will be 37.5 units. Then the correct option is C.

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To compare 56.607 and 56.617 you have to look at the hundredths place. Given that 0 is less than 1, then 56.607 is less than 56.617

Answer:

ASA

Step-by-step explanation:

ASA stands for Angle-Side-Angle which is the congruency theorem that states that if a triangle shares two congruent angles that have one line in between the two angles share a side length congruent to each other, then the two triangles are congruent.

Before you get very confused on the difference between AAS (Angle-Angle-Side) and ASA (Angle-Side-Angle), let explain why these two triangles are ASA.

We are given that both triangles share a similar side length at KL where they are connected. We are also given that angle ∠JKL is congruent to angle ∠MKL. We are also given that angle ∠MLK is congruent to angle ∠JLK.

The most important part after deciding all the relationships is given to us, it is deciding what kind of congruence theorem we will use. We are given the options:

Because we are presented with two congruent angles and one congruent side, we know that this triangle congruency theorem is either ASA or AAS. To understand why these triangles are ASA, we have to look at where the two-given congruent sides are located. As we can see in the name and in our two triangles, the congruent side lengths are in between the two angles as it touches both angle ∠JKL and angle ∠JLK in triangle ΔJKL, while in on ΔMKL, the congruent side length is also found between angle ∠MLK and angle ∠MKL. So, these triangles share ASA because they share two congruent angles connected by one congruent line.

ORDER MATTERS WHEN YOU WRITE YOUR CONGRUENCY THEROMS

AAS is technically not the same as ASA and I will explain that in one moment.

An example of AAS is if instead being told that ∠JKL is congruent to angle ∠MKL, we are given that ∠KJL is congruent to angle ∠KML instead. now the congruent sides are not connected to angle ∠KJL or angle ∠KML. The side is no longer in-between the two congruent sides. The reason order matters here are because order matters between AAS and ASA because in another theorem, SAS, you will find out order matter because while SAS guaranties congruency SSA does not.  Technically, though, while both AAS and ASA both guaranty congruency, they are labeled separately, the way the remaining congruency thermos are.

When chosen 2 of the 16,701 mathematics degrees at random, the probability that at least 1 of the 2 degrees was earned by a woman is P(at least 1 women out of 2)= 70.4064%

P(women)=0.4560

We know the rule: P(not A) = 1−P(A)

We can then determine the probability of individuals who earned a degree but are not women:

P(not women) =1−P(women)=1−0.4560=0.5440

when we multiply we get,

P(A and B) = P(A)×P(B)

now we can then determine the probability of obtaining 2 individuals who earned a degree but are not women:

P(2 not women) = P(not women) × P(not women)

= 0.5440 × 0.5440 = 0.295936

now we can use the complement rule, and with this now we can then determine the probability of at least 1 degree earned by women:

P(at least 1 women out of 2) = 1−P(2 not women) = 1−0.295936

=0.704064

=70.4064%

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Answer:

18/5

Step-by-step explanation:

12+17+20+8+13 =70

70/5 = 14 which is the mean

the distances from the mean are

2 3 6 6 1

add them which is 18 then divide by 5 to find the mean

18/5

In both diagrams, the two arcs are congruent because they are subtended by equal central angles.

An arc is a portion of a curve in a plane that is defined by two endpoints and the points on the curve that lie between them.

In other words, the angles formed at the center of each circle are the same, and so the arcs that they subtend must also be the same length.

For the first diagram, we can see that angle ACB is a central angle of the circle, and that both arcs AB and BC are subtended by this angle. Therefore, they are congruent.

For the second diagram, we can see that angle AOB is a central angle of the circle, and that both arcs AB and BC are subtended by this angle. Therefore, they are congruent.

Regarding the second part of the question, we cannot conclude that AB = BC based solely on the given diagram. We would need additional information about the circle or the relationship between A and B in order to make such a conclusion. The number 15 on each arc may indicate their respective lengths, but it does not provide enough information to determine the relationship between AB and BC.

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Answer:

it should be f

Step-by-step explanation:

For the lengths of the triangle, what is true and false is;

1.  YES  2. NO  3. YES  4. YES  5. NO  6. NO  7. NO  8. YES  9. YES

10. YES (if x, y > 0 and the sum of any two sides is greater than the third side)

To determine if a set of three side lengths can form a triangle, they have to fulfil the Triangle Inequality Theorem.

The theorem says that the sum of the lengths of any two sides must be greater than the length of the remaining side.

a. 12, 11, 10

11+10 > 12, 12+10 > 11, and 12+11 > 10

b. 3, 7, 10

3+7 > 10, but 3+10 < 7 and 7+10 < 3.

c. 2+3 > 4, 2+4 > 3, and 3+4 > 2.

d. 4, 6, 7

4+6 > 7, 4+7 > 6, and 6+7 > 4

e. 3, 2, 1

3+2 > 1, but 3+1 < 2 and 2+1 < 3

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Answer:

PT 1: C

PT 2: B

Step-by-step explanation:

In order to find the volume of a cone use equation

\(V=\pi r^2\frac{h}{3}\)

To find the volume of a cylinder use equation

\(V=\pi r^2h\)

Answer:

The answer to your question is given below

Step-by-step explanation:

8x – 3y = –21 ..... (1)

3x + y = –10 ...... (2)

To prove that x = – 3

Do the following:

8x – 3y = –21 ..... (1)

3x + y = –10 ...... (2)

Make y the subject in equation 2

3x + y = –10

Rearrange

y = –10 – 3x

Substitute the value of y into equation 1

To get the value of x.

8x – 3y = –21

y = –10 – 3x

8x – 3(–10 – 3x) = –21

Clear bracket

8x + 30 + 9x= –21

Collect like terms

8x + 9x = –21 – 30

17x = –51

Divide both side by 17

x = –51 / 17

x = – 3

a) Concept of uniform convergence of a sequence of functions in B(1)Let I = (-1,1) and B(I) = {f: IR|f is bounded}.

b) Concept of pointwise convergence of a sequence of functions in B(1)Let I = (-1,1) and B(I) = {f: IR|f is bounded}.

a)The sequence {f_n} in B(I) converges uniformly to f in B(I) if for every epsilon > 0, there is a natural number N, such that for every n ≥ N and every x in I, we have |f_n(x) − f(x)| < ε.

b)The sequence {f_n} in B(I) converges pointwise to f in B(I) if for every x in I and every ε > 0, there is a natural number N such that for every n ≥ N, we have |f_n(x) − f(x)| < ε.

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The total cost function considers the costs of labor and capital, the supply function determines the quantity supplied based on the production function, the profit function calculates the difference between revenue and cost, and the demand function for capital reflects the equilibrium between the marginal product of capital and the rental rate.

a. The total cost function (C) for this firm can be calculated by multiplying the cost of labor (w) with the number of hours of labor (L) and adding it to the cost of capital (r) multiplied by the quantity of capital (K).

So, C = wL + rK.

b. The supply function (MC) for assembled calculators [q(P,v)] can be found by taking the derivative of the production function with respect to q. In this case, MC = ∂q/∂k * ∂k/∂P.

To find q, you will need to substitute the given value of P and v into the production function.

c. The profit function (π) for this firm, stated as a function of the parameters "P" and "v", can be calculated by subtracting the total cost (C) from the revenue (P*q).

So, π = P*q - C.

d. The demand function for capital (k) can be obtained by equating the marginal product of capital (∂q/∂k) to the rental rate (v).

Solve for k to find the demand function for k.

e. The above functions (C, MC, π, k) have the form they do because they are derived from economic principles such as cost minimization, profit maximization, and the marginal productivity of inputs.

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Answer:

what image i dont see an image

Step-by-step explanation:

Answer:

break it down to prime factorization

so the ans will be 2^3 * 3^2 *11

The probability that a randomly selected user is online less than 15 hours a week is 0.1056 (approx).

As per the given statement, u.s. internet users spend an average of 18.3 hours a week online. If 95% of users spend between 13.1 and 23.5 hours a week, we need to determine the probability that a randomly selected user is online less than 15 hours a week.

To find the probability that a randomly selected user is online less than 15 hours a week, we need to use the Z-score formula, which is defined as:

Z = (X - μ) / σ

Where Z is the z-score, X is the value of the element, μ is the mean of the population, and σ is the standard deviation. Therefore, the probability of a randomly selected user being online less than 15 hours per week can be calculated as follows:Z = (15 - 18.3) / σ

We know that 95% of users spend between 13.1 and 23.5 hours per week, which means that the standard deviation is given by:

13.1 - 18.3 = 5.4 hours (lower bound)

23.5 - 18.3 = 5.2 hours (upper bound)

Therefore, σ = (5.4 + 5.2) / 4 = 2.65 hours

Hence, the z-score can be calculated as follows:Z = (15 - 18.3) / 2.65 = -1.25

Thus, the probability that a randomly selected user is online less than 15 hours a week is P(Z < -1.25). Using a standard normal distribution table, we can find that P(Z < -1.25) = 0.1056 (approx).

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Answer:

n = -20

Step-by-step explanation:

\(-1 +\frac{n}{2} = -11\\\) add 1 on each side

\(\frac{n}{2} = -11 + 1\\\\\frac{n}{2} =-10\)multiply by 2

n = -20

Answer:

Concept: Equation of Linear Systems

Answer:

Slope =-3

Equation of a line

y-y1=m(x-x1))

y-4=-3(x+1)

y-4=-3x-6

y=-3x-6+4

y=-3x-2

Step-by-step explanation:

Answer:

I believe the answer is substitution

Step-by-step explanation:

Hope this Helps :)

i think its called a regular expression.. but i'm not 100% sure. Sorry if im wrong.

Answer:

i put it down below

Step-by-step explanation:

Volume of Pyramid: The volume of a pyramid is the amount of space it occupies and is equal to one third of the product of the area of the base and the height. V = (1/3) * (A * h) Surface Area of Pyramid: The surface area of a pyramid is the sum of the areas of its triangular faces. SA = (A + A + 2A + 2A + 2A + 2A + 3A ) / 2

Answer:

The two integers are -16, 9

Step-by-step explanation:

Assume that one of the integers is x

∵ The sum of the integers = -7

∵ One of them = x

∴ The other number = -7 - x

∵ Their product = -144

∴ x(-7 - x) = -144

→ Multiply the bracket by x

∵ x(-7) - x(x) = -144

∴ -7x - x² = -144

→ Multiply all terms by -1

∴ 7x + x² = 144

→ Subtract 144 from both sides

∴ 7x + x² - 144 = 144 - 144

∴ 7x + x² - 144 = 0

→ Arrange the terms of the left side according the greatest power of x

∴ x² + 7x - 144 = 0

→ Let us factorize it into two factors

∵ x × x = x²

∵ 144 = 9 × 16

∵ 16(x) - 9(x) = 7x ⇒ the middle terms

∴ The factors are (x + 16)(x - 9)

∴ x² + 7x - 144 = (x + 16)(x - 9)

→ Equate the factors by 0

∴ (x + 16)(x - 9) = 0

∵ x + 16 = 0

→ Subtract 16 from both sides

∴ x - 16 = 0 - 16

∴ x = -16

∵ The first number is 16

∴ The other number = -7 - (-16) = -7 + 16

∴ The other number = 9

∴ The two integers are -16, 9

You can use the other factor x - 9 = 0, it will give you the same answer

a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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